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This study establishes quantum benchmarks for teleporting general Gaussian states, crucial for quantum networks. It reveals that random squeezed states have the same benchmark as coherent states.

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Area of Science:

  • Quantum Information Science
  • Quantum Communication
  • Quantum Optics

Background:

  • Continuous variable quantum state teleportation and storage are vital for quantum networks.
  • Validating quantum implementations requires benchmarks from non-quantum strategies.
  • Existing benchmarks cover limited input states like coherent and specific squeezed states.

Purpose of the Study:

  • To define quantum benchmarks for general pure Gaussian single-mode states.
  • To address arbitrary phase, displacement, and squeezing parameters.
  • To establish benchmarks for realistic prior distributions of quantum states.

Main Methods:

  • Developed a theoretical framework to define quantum benchmarks.
  • Analyzed general pure Gaussian single-mode states.
  • Investigated randomly sampled states based on a realistic prior distribution.

Main Results:

  • Solved the problem of defining quantum benchmarks for a broad class of Gaussian states.
  • Showed the fidelity benchmark for teleporting randomly squeezed states is 1/2.
  • Demonstrated this benchmark is equal to that of coherent states.

Conclusions:

  • The established benchmarks provide a rigorous validation for quantum network components.
  • The findings offer insights into the performance limits of quantum teleportation.
  • Entangled resources can be used to surpass these quantum benchmarks in experiments.